2274141311712 has 288 divisors, whose sum is σ = 7077028008960. Its totient is φ = 689598074880.

The previous prime is 2274141311653. The next prime is 2274141311809. The reversal of 2274141311712 is 2171131414722.

2274141311712 is a `hidden beast` number, since 2 + 2 + 74 + 1 + 413 + 1 + 171 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130366863 + ... + 130384305.

It is an arithmetic number, because the mean of its divisors is an integer number (24573013920).

Almost surely, 2^{2274141311712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2274141311712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538514004480).

2274141311712 is an abundant number, since it is smaller than the sum of its proper divisors (4802886697248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2274141311712 is a wasteful number, since it uses less digits than its factorization.

2274141311712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18366 (or 18355 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The spelling of 2274141311712 in words is "two trillion, two hundred seventy-four billion, one hundred forty-one million, three hundred eleven thousand, seven hundred twelve".